379999998000 has 1200 divisors, whose sum is σ = 1611393230304. Its totient is φ = 86416243200.

The previous prime is 379999997977. The next prime is 379999998017. The reversal of 379999998000 is 899999973.

It is a happy number.

379999998000 is a `hidden beast` number, since 379 + 9 + 99 + 99 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 379999998000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1928933902 + ... + 1928934098.

Almost surely, 2^379999998000 is an apocalyptic number.

379999998000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379999998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805696615152).

379999998000 is an abundant number, since it is smaller than the sum of its proper divisors (1231393232304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379999998000 is an frugal number, since it uses more digits than its factorization.

379999998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 89282088, while the sum is 72.

The spelling of 379999998000 in words is "three hundred seventy-nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand".